# To repair a roof that is 4 meters high, Mr. Russo leans a 5-meter ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder?

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1. ## Algebra

A 12 foot ladder leans against the side of a house the bottom of the ladder is 8 feet from the side of the house how high is the top of the ladder from the ground

2. ## Trig

A 12 foot ladder leans against a building. The top of the ladder leans against the wall 10.5 feet from the ground. What is the angle formed by the ground and the ladder? Assume its a right triangle.

3. ## math

An 11-ft ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

4. ## Calculus (related rates)

A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall?

5. ## Trigonometry

A ladder 5 meter long leans against the wall of an apartment house forming an angle of 50 degrees, 32 minutes with the ground. how high up the wall does it reach?

6. ## geometry

the triangles formed by two ladders leaning against a wall are similar. how long is the shorter ladder? the first ladder is 42ft and leans against the wall at 24ft, and the shorter ladder leans against the wall at 8ft.

7. ## math

a fire fighter's 36 foot ladder leans against a building. the top of the ladder touches the buliding 28 ft above the ground. what is the measure of the angle of the ladder forms with the ground?

8. ## physics

a student standing on the roof of a 50 meter high building kicks a stone at a horizontal speed of 4 meters per second, how much time is required for the stone to reach the level ground below?

9. ## Pre-Calculus

A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the

10. ## Algebra

A 12 - ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

11. ## Pre-Cal

A 13-ft ladder leans against a building so that the angle between the ground and the ladder is 63 degrees. How high does the ladder reach on the building? (round your answer to the nearest foot)

12. ## physics help!

A uniform stationary ladder of length= 5.1 m and mass= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.41. The ladder makes an angle

13. ## math

While working on the roof of his house, John leans a 15 foot ladder against a second story window. If the distance on the ground between the base of the ladder and the house is nine feet, at what height does the ladder reach the second story window? In

14. ## trigonometry

A 10 meter ladder is leaning against the side of a building. If the bottom of the ladder is 3 meters from the bottom of the building, find the measure of the acute angle that the ladder makes with the building.

15. ## Math trig

a ladder 24 feet long leans against the side of a building, and the angle between the ladder and the building is 25°. a) approximate the distance from the bottom of the ladder to the building. b)if the distance from the bottom of the ladder to the

16. ## physics

A uniform ladder of mass m and length L leans at an angle θ against a frictionless wall. If the coefficient of static friction between the ladder and the ground is 0.43, what is the minimum angle at which the ladder will not slip? Do i use the equation

17. ## math

A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground? A) 37° B) 47° C) 53° D) 60°

18. ## math

a ladder leans against a building forming an angle of 56 degrees with the ground.The base of the ladder is 3 feet from the building. Use the cosine to determine the length of the ladder.

19. ## Physics

A 15 kg uniform ladder leans againt a wall in the atrium of a large hotel. The ladder is 8m long, and it makes an angle as 60 degree with the floor. The coefficient of static friction between the floor and the ladder is u+ 0.45. Assume the wall is

20. ## math

A 12 foot ladder leans against the side of a house the bottom of the ladder is 7 feet from the side of the house how high is the top of the ladder from the ground

21. ## Trigonometry

A 22-foot ladder leans against a house. The top of the ladder is 12 feet above the ground. Find the angle the ladder makes with the ground.

22. ## Trigonometry

A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 80∘. How high does the ladder reach on the building? I did 19sin(80) to get me 18.76847847 for how high the ladder reach on the building... but when i put the

23. ## math

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground. To the nearest tenth of a foot, how long is the ladder?

24. ## geometry

A painter leans a 15 ft ladder against a house. The base of the ladder is 5 ft from the house. a) To the nearest tenth of a foot, how high on the house does the ladder reach? b) The ladder in part (a) reaches too high on the house. By how much should the

25. ## Trig

The foot of a ladder is on level ground 1.5m from a wall. The ladder leans agents the wall. The angle formed by the ladder and the ground is 70 degrees. Calculate how high up the wall the ladder reaches.

26. ## Math

A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 79∘. How high does the ladder reach on the building?

27. ## Math

Suppose there is a 10 meter ladder leaning against the wall of a building and the base of the ladder is sliding away from the building at a rate of 3 meters per second. How fast is the top of the ladder sliding down the wall when the base of the ladder is

28. ## Geometry

Math question :a ladder leans against a building forming an angle of 56 degrees with the ground.The base of the ladder is 3 feet from the building. Use the cosine to determine the length of the ladder.

29. ## trig.

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°

30. ## algebra

A 12 - ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

31. ## geometry

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

32. ## Maths

A ladder leans against a vertical wall of height 12m.if the foot of the ladder is 5m away from the wall,calculate the length of the ladder.

33. ## Mathematics

The ladder leans on top of the wall 12ft. If the foot of the ladder is 5ft.from the wall,ron the length of the ladder

34. ## Math 9

2 extension ladders are leaning at the same angle against a vertical wall. The 3 meter ladder reaches 2.4 meters up the wall. How much farther up the wall does the 8 meter ladder reach?

35. ## Physics

In the figure, a uniform ladder of weight 200 N and length 10 m leans against a perfectly smooth wall. A firefighter of weight 600 N climbs a distance x up the ladder. The coefficient of static friction between the ladder and the floor is 0.50. What is the

36. ## help quick!!!

a ladder leans against a awall.The top of the ladder is 8 feet above the ground. If the botttom of the ladder is then moved 2 feet farther from the wall, the ladder will lie on the ground with its toptouching the wall. How long is the ladder?

37. ## calc

A 18 -ft ladder leans against a building so that the angle between the ground and the ladder is 82 ^\circ. How high does the ladder reach on the building?

38. ## math

A - 12 ladder leans against the side of a house. The bottom of the ladder is 9ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

39. ## Physics

A uniform ladder of length L and mass m leans against a frictionless vertical wall, making an angle of 56° with the horizontal. The coefficient of static friction between the ladder and the ground is 0.36. If your mass is four times that of the ladder,

40. ## Probl

a ladder 8 meters long leans againts the wall of a building. if the foo|t of the ladder makes an angle of 68^0 with the ground how far is the base of the ladder from the wall ?

41. ## math

a ladder 6 meters long leans against a wall. It rests on the ground 1 meter away from the wall. How high on the wall does the ladder rest?

42. ## algebra 1

A ladder leans against a building, forming an angle of 53° with the ground. The base of the ladder is 3 ft from the building. To the nearest hundredth of a foot, how long is the ladder?

43. ## Geometry

A Ladder leans against a 15 foot tall building to form a right angle. The ladder is placed so it is 8 feet from the base of the building. What is the length of the ladder?

44. ## physics

) A uniform ladder of mass m and length leans at an angle against a frictionless wall. If the coefficient of static friction between the ladder and the ground is determine a formula for the minimum angle at which the ladder will not slip.

45. ## physics

a uniform ladder of mass m and length l leans against fricitonless wall angle theta. If the coefficient of static friction between the ladder and the ground is u, find the formula for the minimun angle such that the ladder won't slip

46. ## College Physics

A uniform stationary ladder of length= 5.1 m and mass= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.41. The ladder makes an angle

47. ## Math

A 25ft ladder leans up against the side of a house, with the base of the ladder a distance 3ft from the wall. If the ladder is moved out by 5ft, how far down the wall will the top of the ladder move?

48. ## physics

ladder of mass m and length l leans against a frictionless wall at an angle of 60 degrees. The coefficient of static friction between the ladder and ground is 0.45. A man whose mass is 4 times the ladder climbs up. How far up the ladder can he go before he

49. ## math

A ladder is 13.0m long. It leans against the wall. The base of the ladder is 3.7m from the wall. What is the angle of inclination of the ladder to the nearest tenth of a degree?

50. ## Calculus

A ladder 15 meters long leans against a vertical wall. If the foot of the ladder is being pulled away from the wall at the rate of 2 meters per minute. How fast is the top of the ladder sliding down the wall at the instant when the foot of the ladder is 12

51. ## Physics

A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0 m above the ground. A painter is climbing up the ladder. The mass of the ladder is 12.0 kg and the mass of the painter is 60.0 kg. The ladder begins to slip at its base when the painter

52. ## Algebra

A ladder base is 3 m away from a house, and the fully extended ladder is 5 m long when it leans against the house. How high does the ladder reach on the house?

53. ## physics

A10m long ladder of mass 18kg leans against a frictionless wall. The ladder makes a 20 angle with the wall. The cofficient of friction between the ladder and the ground is 0.3. How far up the ladder can a 75kg man climb before the ladder slips?

54. ## Math

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. The roof is 12 feet above the ground. The base of the ladder must be at least 1.5 feet from the base of the house. How far is it from the top of the ladder to the edge of

55. ## Geometry

A 10-meter ladder, is resting against the top of a building. If the bottom of the ladder is 4 meters from the building, how many meters tall is the building

56. ## trig.

A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle if the angle of elevation of the ladder is 80°

57. ## physics

A 3.0 m long ladder of weight 98. N leans against a frictionless wall at an angle of 60.° with respect to the horizontal. The coefficient of static friction between the ground and the ladder is µs=0.45. If the ladder is not sliding, the magnitude of the

58. ## Physics

A uniform ladder of mass m is 2.5 m long. Its upper end leans against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.58. How far from the wall can the lower end be placed before the ladder starts to slip?

59. ## Physics

There is a vertical tension at the top of a 4 m long ladder holding it at an incline. The bottom of the ladder is touching the floor, which exerts a normal force. You are standing 1 meter from the top of the ladder. What happens to the tension as you walk

60. ## Geometry

To repair a roof that is 4 meters high, Mr. Russo leans a 5-meter ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder?

61. ## math

A painter leans a ladder against a vertical wall. The top of the ladder is 7 meters above the ground. When the bottom of the ladder is moved 1 meter farther away from the wall, the top of the ladder is 5 meters above the ground. What is the length of the

62. ## math

A painter leans a ladder against a vertical wall. The top of the ladder is 7 meters above the ground. When the bottom of the ladder is moved 1 meter farther away from the wall, the top of the ladder is 5 meters above the ground. What is the length of the

63. ## Math

A painter leans a ladder against a vertical wall. The top of the ladder is 7 meters above the ground. When the bottom of the ladder is moved 1 meter farther away from the wall, the top of the ladder is 5 meters above the ground. What is the length of the

64. ## math

A ladder , 5 meter long , standing on a horizontal floor , leans against a vertical wall . If the top of the ladder slides downwards at the rate of 10 cm/sec . Find the rate at which the angle between the floor and the ladder is decreasing when the lower

65. ## geometry

A 25 meter ladder is leaned against a tall building. If the ladder makes a 30 degree angle with the ground, how high up on the building (in meters) does the ladder fall?

66. ## problem solving

A ladder 5 meters long leans against a wall, reaching over the top of a box that is 1 meter on each side. The box is against the wall. What is the maximum height on the wall that the ladder can reach? The side view is: Assume the wall is perpendicular to

A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0 m above the ground. A painter is climbing up the ladder. The mass of the ladder is 12.0 kg and the mass of the painter is 60.0 kg. The ladder begins to slip at its base when the painter

68. ## math

if a ladder 15 meters long is placed so as to reach the bottom of a window 10 meters high, what distance on the ground does the ladder adjusted if it is placed on the top of a two meter square window and what is the new angle of elevation of the top of the

69. ## Complex Physics Problem

A ladder can fall for two reasons. If it is set too steep and climber gets their mass to the left of the ladder's base, the ladder likely will fall over backwards. If the ladder is set at too shallow of an angle the required force of friction between the

70. ## physics

What is the height of 3.0 meter ladder leans against a wall 37 degree.

71. ## physics

Romeo is trying to climb a ladder placed 3 meters away from a 4 meter high tower where Juliet is stuck. He weighs 110 kg, the ladder weighs 25 kg. Can Romeo climb to the top of the ladder? If so, can he bring Juliet back down with him?

72. ## trig

A ladder leans against a house at a point 19 feet high. The ladder is 25 feet long. What is the measure of the angle formed by the ladder against the house?

73. ## math

An extension laddder is to be placed against a house so that it reaches 1 ft above the edge of the roof, which is 23.5 ft high. The ladder makes an angle of 70 degrees with the ground. How long must the ladder be? How far is the distance from the house to

74. ## physics

A 150-N ladder leans against a smooth wall, inclined at an angle of 60 degrees above the floor. The centre of gravity of the ladder is at point on the ladder which is one-third the length of the ladder from the bottom. How large a horizontal force must the

75. ## Basic math

A ladder 10 feet long leans against a building the base of the ladder is 6 feet how high is the paint where the ladder touches the building

76. ## geometry

A 27 ft ladder leans against a wall at an angle of elevation of 47Ã‚Â°. How high off the ground does the top of the ladder touch the wall?

77. ## Math

A 20 meter ladder is leaning against a house.The bottom of the ladder is 15 meters away from the house. How far, to the nearest tenth, is the top of ladder from the ground? Do I multiply 20,x 15? I don't know how to do the problem

78. ## Math

A 20 meter ladder is leaning against a house.The bottom of the ladder is 15 meters away from the house. How far, to the nearest tenth, is the top of ladder from the ground? Do I multiply 20,x 15? I don't know how to do the problem

79. ## math

A ladder 8ft long leans against a wall. It rests on the ground 2ft from the wall. How high on the wall does the ladder reach?

80. ## Physics

A woman is standing on the middle of a ladder that leans up against a building, with an angle of 56 degrees from the ground. The wall is very slippery and the ladder is very light. What is the minimum coefficient of friction needed between the ground and

81. ## Phyiscs

A woman is standing on the middle of a ladder that leans up against a building, with an angle of 65 degrees from the ground. The wall is very slippery and the ladder is very light. What is the minimum coefficient of friction needed between the ground and

82. ## Physic

1. Evaluate dF/dr when r=10,000, given that F= GmM/(r^2) and that F decreases by 3N/m when r=20,000. 2. The lowest point of a 5 meter long ladder is pulled away from a wall at 0.3 meters/sec. Find the rate at which the angle between the ladder and the wall

83. ## Physics

A ladder of weight 200 N and length 10 m leans against a smooth wall with no friction. A firefighter of weight 600 N climbs a distance x up the ladder (x goes from the bottom of the ladder to the firefighter’s feet). The coefficient of friction between

84. ## physics

A ball is thrown upward off the top of a 30-meter high building. 10 meters below the top of the roof, is the top of a window, which is 2 meters high. How long (time) does it take for the ball to pass from top to bottom of the window? What I have so far is:

85. ## math

a 19 foot ladder leans against the top of a house. if the house is 15ft high how far is the foot of the ladder from the base of the building.

86. ## GEOMETRY

3. A ladder leaning against a wall makes a angle with the ground. The base of the ladder is 4 meters from the building. How high above the ground is the top of the ladder?

87. ## math

A ladder leans against a brick wall, The top of the ladder touches the wall 10 feet from the ground. The ladder is 15 feet long. How far does the bottom of the ladder sit from the wall? Round to the nearest tenth.

88. ## physics

A ladder leans against a slick wall (zero friction) with the foot of the ladder on level ground with a coefficient of friction of 0.06. The greatest angle from the vertical possible without the ladder slipping is: ? how would I set up this problem?

89. ## Physics

A uniform ladder of mass m = 6.5 kg and length l = 2.1 m leans at an angle against a frictionless wall, Fig. 12-72. If the coefficient of static friction between the ladder and the ground is µs = 0.3, what is the minimum angle at which the ladder will not

90. ## AP Physics

A ladder of unknown length and mass of 29 kg rests on a rough floor, and leans against a rough wall. The coefficient of static friction between the ladder and both the floor and wall are 0.68. Hanging on the ladder are two masses. The first mass is 9.9 kg

91. ## physics

A 150-kg ladder leans against a smooth wall, making an angle of 30 degrees with the floor. The centre of gravity of the ladder is one-third the way up from the bottom. How large a horizontal force must the floor provide if the ladder is not to slip?

92. ## phy

A 150-kg ladder leans against a smooth wall, making an angle of 30 degrees with the floor. The centre of gravity of the ladder is one-third the way up from the bottom. How large a horizontal force must the floor provide if the ladder is not to slip?

93. ## Physics - Equilibrium

A uniform ladder of mass M and length L leans at an angle theta against a frictionless wall. If the coefficient of static friction between the ladder and the ground is U, determine a formula for the minimum angle at which the ladder will not slip.

94. ## physics

A person with mass 70 kg is climbing a ladder (length 6m, mass 20 kg) that leans against a smooth wall (no friction). A frictional force fs between the ladder and the floor keeps it from slipping. The angle between the ladder and the wall is 30 degrees.

95. ## physics

In Figure 12-6, a ladder of length L = 12 m and mass m = 46 kg leans against a slick (frictionless) wall. The ladder's upper end is at height h = 9.2 m above the pavement on which the lower end rests (the pavement is not frictionless). The ladder's center

96. ## Physics

Can someone help with the following physics problem? This is the only one I'm having trouble solving. Thanks. A 3.6-m-long ladder leans against a frictionless wall as shown in the figure below. The coefficient of static friction between the ladder and the

97. ## Math

As part of a training exercise, 16 firemen need to carry equipment up a ladder hooked to the top of an office building that is 15 meters tall. If the base of the ladder is 7 meters from the wall, about how long is the ladder?

98. ## math

A ladder 29 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder,

99. ## physics

A ladder sits 2 meters away from the side of a house. The top of the ladder rests at 13 meters above the ground. What is the length of the ladder?

100. ## math

A 10 meter ladder is placed against a building at an angle of 75 degree with the ground. how high up the building does the ladder reach?